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1023320310120 = 2332517732290537
BaseRepresentation
bin11101110010000101010…
…01001100000101101000
310121211100221200220221200
432321002221030011220
5113231224444410440
62102035025404200
7133634555055243
oct16710251140550
93554327626850
101023320310120
11364a95701069
121463aba99660
1375663817104
14377596b425a
151b943c47c30
hexee42a4c168

1023320310120 has 192 divisors, whose sum is σ = 3569666040720. Its totient is φ = 253314957312.

The previous prime is 1023320310107. The next prime is 1023320310161. The reversal of 1023320310120 is 210130233201.

1023320310120 is a `hidden beast` number, since 1 + 0 + 2 + 332 + 0 + 310 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 897191628804 + 126128681316 = 947202^2 + 355146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023320310093 and 1023320310102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698509 + ... + 1592028.

Almost surely, 21023320310120 is an apocalyptic number.

1023320310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023320310120 is an abundant number, since it is smaller than the sum of its proper divisors (2546345730600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023320310120 is a wasteful number, since it uses less digits than its factorization.

1023320310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290644 (or 2290637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023320310120 its reverse (210130233201), we get a palindrome (1233450543321).

The spelling of 1023320310120 in words is "one trillion, twenty-three billion, three hundred twenty million, three hundred ten thousand, one hundred twenty".